Distance Estimates for Action-Minimizing Solutions of the N-Body Problem

被引：0

作者：

Chen, Kuo-Chang ^{[1
]}

Pan, Bo-Yu ^{[2
]}

机构：

[1] Natl Tsing Hua Univ, Dept Math, Sec 2,Kuangfu Rd,300, Hsinchu 101, Taiwan

[2] Natl Chung Hsing Univ, Dept Appl Math, 145 Xingda Rd, Taichung 402, Taiwan

来源：

REGULAR & CHAOTIC DYNAMICS | 2023年 / 28卷 / 04期

关键词：

N-body problem; variational method; mutual distance; SIMPLE CHOREOGRAPHIES; 3-BODY PROBLEM; 4-BODY PROBLEM; EXISTENCE; ORBITS;

D O I：

10.1134/S1560354723040044

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we provide estimates for mutual distances of periodic solutions for the Newtonian N-body problem. Our estimates are based on masses, total variations of turning angles for relative positions, and predetermined upper bounds for action values. Explicit formulae will be proved by iterative arguments. We demonstrate some applications to action-minimizing solutions for three- and four-body problems

引用

页码：561 / 577

页数：17

共 19 条

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